Answer:
1764 ways
Step-by-step explanation:
Given:
Men = 9
Women = 7
Required Men: 3
Required Women: 2
'
Required
Total Possible Outcome
The total possible outcome can be determine as follows;
Total = (Selection of Men) and (Selection of Women)
Calculating Selection of Men;
Let n represent total number of men; This implies that n = 9;
Let r represent number of men to select; This implies that r = 3;
The selection can be done in the following ways;
[tex]Male = nCr[/tex]
Where [tex]nCr = \frac{n!}{r!(n-r)!}[/tex]
[tex]Male = 9C3[/tex]
[tex]Male = \frac{9!}{3!(9-3)!}[/tex]
[tex]Male = \frac{9!}{3!(6)!}[/tex]
[tex]Male = \frac{9 * 8 * 7 * 6!}{3!6!}[/tex]
[tex]Male = \frac{9 * 8 * 7}{3!}[/tex]
[tex]Male = \frac{9 * 8 * 7}{3*2*1}[/tex]
[tex]Male = 84 ways[/tex]
Calculating Selection of Women;
Let n represent total number of men; This implies that n = 7;
Let r represent number of men to select; This implies that r = 2;
The selection can be done in the following ways;
[tex]Female = nCr[/tex]
Where [tex]nCr = \frac{n!}{r!(n-r)!}[/tex]
[tex]Female = 7C2[/tex]
[tex]Female = \frac{7!}{2!(7-2)!}}[/tex]
[tex]Female = \frac{7!}{2!(5)!}[/tex]
[tex]Female = \frac{7 * 6 * 5!}{2!5!}[/tex]
[tex]Female = \frac{7 * 6}{2!}[/tex]
[tex]Female = \frac{42}{2*1}[/tex]
[tex]Female = 21 ways[/tex]
Recall that
Total = (Selection of Men) and (Selection of Women)
Hence,
[tex]Total = 84 * 21[/tex]
[tex]Total = 1764 ways[/tex]
Which shows the pre-image of quadrilateral W'X'Y'Z' before the figure was rotated according to the rule (x,y) → (-x, -y)?
у
6
5
Z
Y'
4
3
X
2
1
х
1. 2. 3. 4. 5. 6
6.-5.4-3-2-11
-2
5
LE
Ty
Answer:
W(-2, -3), X(-6, -3) , Y(-6, -4) and Z(-3, -5)
Step-by-step explanation:
In the figure attached, the quadrilateral W'X'Y'Z' is shown. Its coordinates are W'(2, 3), X'(6, 3), Y'(6, 4) and Z'(3, 5). Transforming these points according to the rule (x,y) → (-x, -y) we can get the pre-image, quadrilateral WXYZ, as follows:
W'(2, 3) -> W(-2, -3)
X'(6, 3) -> X(-6, -3)
Y'(6, 4) -> Y(-6, -4)
Z'(3, 5) -> Z(-3, -5)
Answer:
the answer is A
Step-by-step explanation:
Mark me brainliest
Please answer the question stated below
Answer:
2968
Step-by-step explanation:
First make 112% into a decimal, now its 1.12, add all the scooters' sales from all years and multiply by 1.12 then add that number to the total sales of the scooters
Answer:
725 + 579 + 696 = 2000 (What a coincidence)
112% = 112 / 100 = 1.12
Multiply the increase
2000 x 1.12 = 2240
2240 is the amount of scooters sold.
Step-by-step explanation:
Find x in the following right triangle.
Answer: 15
Step-by-step explanation: I used the pythagorean theorem. X is a, 8 is b, and 17 is c. The squares of a and b added together are c. So I got 15.
Answer:
x=15
Step-by-step explanation:
First, you are going to find a Pythagorean Triple. As you can see from the picture you have provided, 17 ft is the longest side. So, I squared 17 and got 289. I did this because I am using the Pythagorean Theorem (a^2+b^2=c^2). Then, I squared 8 and got 64. Then, still following the Pythagorean Theorem, I subtracted 64 from 289. I got 225. Then, I found the square root of 225. I got 15. So, x=15.
Which word describes the slope of the line?
O positive
O negative
O zero
O undefined
Answer:
positive
Step-by-step explanation:
the line is tilting up (you read it from left to right)
The slope of the line is, O positive.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
from the given graph,
we get,
the straight line is in the positive direction.
Hence, The slope of the line is, O positive.
To learn more on slope click:
brainly.com/question/3605446
#SPJ2
At soccer practice, Laurel and Erika stook back to back at the center of the field. Erika ran 20 yards south and 13 yards east. Laurel ran 24 yards north and 18 yards west. Once there, Erika kicked a soccer ball in a straight line to Laurel. How far, to the nearest tenth of a yard, did the ball travel to get from Erika to Laurel?
Hellllp someone please
Answer:
296
Explanation:
To solve this problem, subtract 128 from 424.
424 - 128
296
Therefore, Jacobs total score is 296 after he loses 128 points from 424 points.
Answer: 296 points
Step-by-step explanation:
424 - 128 = 296
Not sure how to do these problems.
Answer:
5) 64
6) 39
Step-by-step explanation:
Find the medium of the following set of data. Round to the nearest 10th if necessary 26.1,8.4,11.4,44.1,32.3,46.41,18.5,20,9.3,19.6
Answer:
19.8
Step-by-step explanation:
You have to first put the numbers into ascending order:
8.4, 9.3, 11.4, 18.5, 19.6, 20, 26.1, 32.3, 44.1, 46.41.
Because there is an even amount of numbers, you end up with 19.6 and 20.
The in between of 19.6 and 20 is 19.8.
(You can work this out by adding the two numbers together and then dividing by two if you have to.)
Andrew is working on his homework. One of the questions ask What is the next number is the pattern? 1,1,2,3,5,8.....? What kind of reasoning should Andrew use to find the answer?
A. Law of detachment
B. Syllogism
C. Inductive reasoning
D. Seductive reasoning
Please help me with this
Answer:
inductive reasoning
Step-by-step explanation:
Answer:
Inductive Reasoning
Step-by-step explanation:
Collecting lots of data to make a conjecture suggests one kind of reasoning.
951/3 i dot know because it is to hard
Answer:
317
Step-by-step explanation:
951/ 3 is 317
for this problem you can use a calculator, or long division.
What is one possible set of dimensions of a cone that has the same volume as the cylinder? Explain
your reasoning
Answer:
Cone that has 3 times the height, but the same base
Step-by-step explanation:
The formula for cone's volume is 1/3bh while cylinder is just bh
the median and mean
PLZ HELP
Step-by-step explanation:
Data Set A: 14, 21, 24, 28, 28, 35
Data Set B: 18, 19, 21, 25, 29,32
Median:
Data Set A = 26
24 + 28 = 52
52/2 = 26
Data Set B = 23
21 + 25 = 46
46/2 = 23
Mean:
Data Set A = 25
14 + 21 + 24 + 28 + 28 + 35 = 150
150/6 = 25
Data Set B = 24
18 + 19 + 21 + 25 + 29 + 32 = 144
144/6 = 24
Is there an easy way to solve (5x - 8y +7z) + (6y - 4x - 3z)???
I'll mark you as brainliest if you help me
Translation to French/Francais
Existe-t-il un moyen facile de résoudre (5x - 8y + 7z) + (6y - 4x - 3z) ???
Je te marquerai comme le plus intelligent si tu m'aides
Translation to Russian
Есть ли простой способ решить (5x - 8y + 7z) + (6y - 4x - 3z) ???
Я отмечу тебя как самого умного, если ты поможешь мне
Translation to Tamil
(5x - 8y + 7z) + (6y - 4x - 3z) தீர்க்க எளிதான வழி இருக்கிறதா ???
நீங்கள் எனக்கு உதவி செய்தால் நான் உங்களை மூளையாகக் குறிப்பேன்
______________________________
Hey!!
Solution,
(5x-8y+7z)+(6y-4x-3z)
= 5x-8y+7z+6y-4x-3z
= 5x-4x-8y+6y+7z-3z
= x-2y+4z
Hope it helps..
Good luck on your assignment
_____________________________
30 POINTS!!!!Twice the sum of a number and eleven is more than negative two. Boundary point:
Answer:
2(x + 11) > -2
_________________________________________________________
I feel like we are missing information here, can you comment it down below.
Answer
13
Step-by-step explanation:
WILL GIVE BRAINLIEST AND 100 PNTS!! Which of the tables represents a function? Table A Input Output 5 3 5 2 4 1 Table B Input Output 1 2 3 2 5 3 Table C Input Output 0 0 1 2 1 3 Table D Input Output 4 2 4 3 4 4 Table A Table B Table C Table D
Answer:
Table B
Step-by-step explanation:
Table A Input Output
5 3
5 2
4 1
Has an input that goes to 2 different outputs, not a function
Table B Input Output
1 2
3 2
5 3
one to one relation which is a function
Table C Input Output
0 0
1 2
1 3
Has an input that goes to 2 different outputs, not a function
Table D Input Output
4 2
4 3
4 4
Has an input that goes to 2 different outputs, not a function
A city has 4 new houses for every 9 old houses. If there are 28 new houses in the city, how many old houses are there?
A. 61
B. 63
C. 67
D. 65
What is 12.5÷2.4 and what are the steps
Answer:
5.2083bar
Step-by-step explanation:
Answer:
5.208333333
Step-by-step explanation:
divied 12.5 by 2.4
Answer the questions for 9 points and brainliest
What is the median of the data
Answer:
40
Step-by-step explanation:
The median is the line in the middle of the box
40 is the median
WILL GIVE BRAINLIEST AND 30 POINTS! Simplify −3 +i over 7 + i . First, multiply both the numerator and denominator by A. -3 + i B. -3 -i C. 7 + i D. 7-1 Hint: C is incorrect.
You have (-3 +i)/(7 + i) so you need to remove the i from the numerator, so you have to multiply by 7-i and you get
(-22 + 4i)/50 which can be simplified to
(-11 + 2i)/25
Answer:
Step-by-step explanation:
What you are trying to do in this question is get rid of the i in the denominator. To do that you must multiply top and bottom by the conjugate of 7 + i
The conjugate is 7 - i
D if correct if you just made a typo. Otherwise there is no answer.
( - 3 + i ) * (7 - i)
=============
(7 + i ) ( 7 - i)
( - 3 + i ) * (7 - i)
=============
49 - i^2
( - 3 + i ) * (7 - i)
=============
49 + 1
( - 3 + i ) * (7 - i)
=============
50
I'll let you work out the numerator. If you get (-2 + i)/5 you are correct.
We have enough material to build a fence around a station
that has a perimeter of 180 feet. The width of the rectangular
space must be 30 feet. What must the length be?
1: Drag the correct number of strips to build the model.
P
1
-
-
-
-
1
W
Answer:
[tex]60ft[/tex]
Step-by-step explanation:
Use the formula for the perimeter of a rectangle.
[tex]P=2l+2w[/tex]
[tex]180=2l+2(30)[/tex]
[tex]180=2l+60[/tex]
[tex]180-60=2l[/tex]
[tex]120=2l[/tex]
[tex]\frac{2l}{2}=\frac{120}{2}[/tex]
[tex]l=60[/tex]
x-y+z for x= 18,y=6,z=1
Answer:
We have been given the equation: x+y+z. Now these are variables. Thus, we have to fill in the values given: where x = 18, y = 6 and z = 1. Let's fill these values in.
x+y+z
= 18+6+1
= 18+(7)
= 25
Hope it Helps. Good luck on your assignment! (brainliest if possible)
Answer:
[tex] = 25[/tex]
Step-by-step explanation:
[tex]x + y + z[/tex]
Given that,
[tex]x = 18 \\ y = 6 \\ z = 1[/tex]
Let's solve
[tex]x + y + z \\ 18 + 6 + 1 \\ 24 + 1 \\ = 25[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Find the volume. SHOW WORK
Answer:
827.39
Step-by-step explanation:
Volume = L X W X H
So 6.2 X 8.5 X 15.7
6.2 X 8.5 = 52.7
52.7 X 15.7 = 827.39
So the volume is 827.39
URGENTTT!!!!! Which of the following graphed relations does not represent a function?
Answer:
D
Step-by-step explanation:
last one.
if a vertical line cuts the curve at more than one points ,then it is not a function.
Answer:
I agree that it is D
Step-by-step explanation:
I’m also stuck on this .
Answer:
It's given that AB = AC and BN = NC. Also, AN = NA because of the reflexive property. So the answer to the blank is congruent. (This is because of the SSS principle.)
Answer:
bardikikinouko is the answer
Step-by-step explanation:
Write the equation of the line parallel to y = (3/5)x -9 and goes through the point
(-3, 8).
y + 3 = (-3/5)(x +5)
y + 8 = (5/3)(x - 3)
y - 3 = (3/5)(X + 8)
y - 8 = (3/5)(x + 3)
Answer:
y - 8 = (3/5)(x + 3)
Step-by-step explanation:
find the slope of the line that passses thruogh 6,10 and 4,5
Answer:
2.5
Step-by-step explanation:
In the pic below
how to solve x - 7 = -13
Answer:
x = -6
Step-by-step explanation:
to solve this you can just add 7 to both sides of the equation.
x -+7 = -13
+7 +7
x = -6
this works because since it puts the x by itself, the other side of the equation is then equal to x and typically in equations with variables you solve for the variables.
hope it helps!
Consider the following linear system.
Answer:
k= 10
Step-by-step explanation:
2x - 5y = 15
ky = 20 +4x
Solve the first equation for y
-5y = -2x +15
Multiply by -2
10y = 4x - 30
If k = 10 then the slopes are the same, but the y intercepts are different.
The lines are parallel. They will never intersect, and they have no solution
Answer:
D
Step-by-step explanation:
- 5y = - 2x +15
10y = 4x - 30
if k = 10, then the y intercepts are different, and the lines--being parallel--don't ever meet, so k = 10 would result in 0 solutions.
Hope this helps!
I have no idea what im doing, can someone please help me? ASAP!!!! Use the pythagorean theorem to find the missing slide.
Answer:
1. b=√56
Step-by-step explanation:
1. Pythagorean therom states a²+b²=c² and in number 1 we are given the c or the hypotenuse so plugging in the values we know 13²+b²=15²
which equals 169+b²=225 subtract 169 from both sides and we get b²=56
square root both sides and we get b=√56
Directions - Find the degree of the monomial.
-4xyz~3
Degree =
Answer:
5
Step-by-step explanation:
To find the degree of a monomial, add the values of all the exponents together. In this example, x and y both have an exponent of 1. the exponents of x + y + z is 1 + 1 + 3. The degree is 5. Hope this helps!